I got hold of a book from Anatoly A. Karatsuba with the title Complex Analysis for Number Theory.
Chapter 1. The Complex Integration Method and Its Application in Number Theory.
Chapter 2. Riemann Zeta
Chapter 3. Dirichlet L-functions
Paragraph 1. Generating Functions in Number Theory. Section 1. Dirichlet Series. Can it be more to the point? This book is clearly written with the intention of efficiently transferring the required tools of complex analysis to number theory students. Chapter 2 introduces the Riemann Zeta function.
Why is this book priced at $179.95 at Amazon? Because it is hard-cover? It is a book from the 19-nineties. This is educational material. Transfer it to electronic format and price it reasonably.
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